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Finding the Third Proportional to 1,661.50 and 3,625

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Solution

The third proportional to 1,661.50 and 3,625 is: 7,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.50 : 3,625 = 3,625 : x
  2. Step 2: Convert to fraction form
    1,661.50/3,625 = 3,625/x
  3. Step 3: Cross multiply
    1,661.50x = 3,625 × 3,625
  4. Step 4: Simplify right side
    1,661.50x = 13,140,625
  5. Step 5: Solve for x
    x = 13,140,625/1,661.50
  6. Step 6: Final answer
    x = 7,908.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.